(3+4i)+(-6+2i)=

Solution for (3+4i)+(-6+2i)= equation:

Simplifying
(3 + 4i) + (-6 + 2i) = 0

Remove parenthesis around (3 + 4i)
3 + 4i + (-6 + 2i) = 0

Remove parenthesis around (-6 + 2i)
3 + 4i + -6 + 2i = 0

Reorder the terms:
3 + -6 + 4i + 2i = 0

Combine like terms: 3 + -6 = -3
-3 + 4i + 2i = 0

Combine like terms: 4i + 2i = 6i
-3 + 6i = 0

Solving
-3 + 6i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 6i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6i = 0 + 3
6i = 0 + 3

Combine like terms: 0 + 3 = 3
6i = 3

Divide each side by '6'.
i = 0.5

Simplifying
i = 0.5